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(Solved): You wish to test the following claim (H_(a)) at a significance level of \alpha =0.005. H_(o):\mu =59 ...



You wish to test the following claim

(H_(a))

at a significance level of

\alpha =0.005

.

H_(o):\mu =59.7 H_(a):\mu !=59.7

You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size

n=19

with mean

M=63.5

and a standard deviation of

SD=6.4

. What is the

p

-value for this sample? (Report answer accurate to four decimal places.) p -value = The

p

-value is... less than (or equal to)

\alpha

greater than

\alpha

This

p

-value leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the population mean is not equal to 59.7 . There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 59.7. The sample data support the claim that the population mean is not equal to 59.7. There is not sufficient sample evidence to support the claim that the population mean is not equal to 59.7.



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